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3 years ago

The distance between two towns is 7km on a map, the distance between the towns is 28cm. Find as a ratio, the scale of the map?

Mathematics

1 answer:

kirill115 [55]3 years ago

4 0

Answer:

1:4

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

28/4 = 4

1:4

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You invested a total of $60,000 in 2 funds earning 8.5% and 10% simple interest. During 1 year, the 2 funds earned a total of $5

maksim [4K]

The amount invested in the fund earning 8.5% is $40,000 whereas $20,000 was invested in the fund earning 10%

What is the return on each fund?

The return on each fund is determined as the amount invested multiplied by the interest rate on the fund

;Let X be the amount invested at 8.5%

Interest=8.5%*X=0.085X

The interest of the fund invested at 10%=($60,000-X)*10%

The interest of the fund invested at 10%=$6000-0.10X

Total interest=0.085X+6000-0.10X

Total interest earned during year 1=$5,400

5400=0.085X+6000-0.10X

5400=6000-0.015X

0.015X=6000-5400

0.015X=600

X=600/0.015

X=$40,000(amount invested at 8.5%)

amount invested at 10%=$60,000-$40,000

amount invested at 10%=$20,000

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2 years ago

Find mAC<br><br> Help me please

aleksandrvk [35]

Answer:

130 degrees

Step-by-step explanation:

arc CA is 50 since the angle is 50 and then you would subtract from 180 since it is half the circle which leaves you with C, or 130 degrees.

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3 years ago

What is the measure of A and C, A = (12x + 12), b = (15) C =(3x + 18)°

Gnoma [55]

3x + 18 + 12x + 12
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3 years ago

. Find f(3) for the following function

Snowcat [4.5K]

Answer:

$\boxed {\boxed {\sf D. \ f(3)= 30}}$

Step-by-step explanation:

We are given the function:

$f(x)= 3(2)^x+6$

We want to find f(3), so we must substitute 3 in for x.

$f(3)= 3(2)^3+6$

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Solve the exponent first.

2³= 2*2*2= 4*2= 8

$f(3)= 3(8)+6$

Multiply 8 and 3.

$f(3)= 24+6$

Add.

$f(3)=30$

For the function given, f(3) is 30.

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3 years ago

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What is the equation of a line that is parallel to 2x+3y=3 and passes through the point (3, −4) ?

kari74 [83]

The correct answer in my opinion is 2x+3y= -6 <span />

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